منابع مشابه
An Abstract Regularity Lemma
We extend in a natural way Szemerédis Regularity Lemma to abstract measure spaces. 1 Introduction In this note we extend Szemerédis Regularity Lemma (SRL) to abstract measure spaces. Our main aim is to nd general conditions under which the original proof of Szemerédi still works. Another extension of SRL to probality spaces was proved by Tao [3], but his results do not imply our most general...
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A method for extracting intersection-free iso-surfaces from volumetric data with an octree structure is presented. Unlike contouring techniques designed for uniform grids (such as Marching Cubes), adaptive contouring methods (such as Dual Contouring) can and do often generate intersecting polygons. Our main contribution is a polygon generation algorithm that produces triangles enclosed in nonov...
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Let $R$ be a commutative ring with non-zero identity. We describe all $C_3$- and $C_4$-free intersection graph of non-trivial ideals of $R$ as well as $C_n$-free intersection graph when $R$ is a reduced ring. Also, we shall describe all complete, regular and $n$-claw-free intersection graphs. Finally, we shall prove that almost all Artin rings $R$ have Hamiltonian intersection graphs. ...
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Hensel's Lemma is an important tool in many ways. One application is in factoring polynomials over Z. The computation in applying Hensel's Lemma proceeds by using the Euclidean algorithm. In this short article we present another approach to Hensel's Lemma, and we show that the lift of a polynomial can be calculated in another way. In some cases this is computationally faster. The proof is a con...
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We first review recent versions of Barbălat's Lemma by comparing their proofs and by discussing a concrete example. Then we present a proof which allows for a quantitative interpretation. In 1959, Barbălat formalized the intuitive principle that a function whose integral up to infinity exists and whose oscillation is bounded needs to be small at infinity. Theorem 1. (Barbălat's Lemma [2, p. 269...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90077-8